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For the same quantum field theory distinct effective actions can be obtained by coupling sources to different choices of field variables. This is the same as considering effective actions for theories related by a change of variables and…

High Energy Physics - Theory · Physics 2025-08-25 Kevin Falls

The QED effective Lagrangian in the presence of an arbitrary constant electromagnetic background field at finite temperature is derived in the imaginary-time formalism to one-loop order. The boundary conditions in imaginary time reduce the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Holger Gies

In this paper we consider the quantization of a scalar field coupled to gravity at one loop order. We investigate the divergences appearing in the mass (i.e. phi^2) term in the effective action. We use the Vilkovisky-DeWitt effective action…

High Energy Physics - Theory · Physics 2010-02-04 P. T. Mackay , D. J. Toms

We calculate the effective action for a constant magnetic field and a time-dependent time-component of the gauge field in 2+1 dimensions at finite temperature. We also discuss the behaviour of the charge density and the fermion condensate…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcelo Hott , Georgios Metikas

We consider a higher derivative effective theory for an Abelian gauge field in three dimensions, which represents the result of integrating out heavy matter fields interacting with a classical gauge field in a parity-conserving way. We…

High Energy Physics - Theory · Physics 2009-10-30 I. J. R. Aitchison , C. D. Fosco , F. D. Mazzitelli

A numerical technique for calculating effective actions of electromagnetic backgrounds is proposed, which is based on the string-inspired worldline formalism. As examples, we consider scalar electrodynamics in three and four dimensions to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Holger Gies , Kurt Langfeld

We review the one-loop effective action in scalar QED and the Schwinger effect in a uniform electric field in a two-dimensional (anti-) de Sitter space. The Schwinger effect has a thermal interpretation in terms of the effective temperature…

High Energy Physics - Theory · Physics 2017-12-07 Sang Pyo Kim

The multi-Regge effective action is derived directly from the linearized gravity action. After excluding the redundant field components we separate the fields into momentum modes and integrate over modes which correspond neither to the…

High Energy Physics - Theory · Physics 2009-10-28 R. Kirschner , L. Szymanowski

In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

High Energy Physics - Theory · Physics 2011-04-06 Burak Tevfik Kaynak

In this work, we propose a novel partial electromagnetic duality and construct its consistent realization using an extended gauge group $\mathrm{U}(1)_{\mathrm{q}}^{}\otimes\mathrm{U}(1)_{\mathrm{d}}^{}$ over a localized space region, where…

High Energy Physics - Phenomenology · Physics 2026-01-12 Yanfeng Hang

From the Euler-Heisenberg formula we calculate the exact real part of the one-loop effective Lagrangian of Quantum Electrodynamics in a constant electromagnetic field, and determine its strong-field limit.

High Energy Physics - Theory · Physics 2008-11-26 Remo Ruffini , She-Sheng Xue

A strong electromagnetic field polarizes the vacuum and in the presence of an electric field creates pairs of a charged particle and its anti-particle. Magnetars, highly magnetized neutron stars with magnetic field comparable to or greater…

High Energy Astrophysical Phenomena · Physics 2021-12-07 Chul Min Kim , Sang Pyo Kim

Effective action of an SU(2) gauge model with a vortex in 4-dimensional space time is calculated in the 1-loop approximation. The minimum of the effective potential is found.

High Energy Physics - Theory · Physics 2007-05-23 V. Ch. Zhukovsky

Functional methods can be applied to the quantum effective action to efficiently determine counterterms and matching conditions for effective field theories. We extend the toolbox to two-loop order and beyond and show how to evaluate the…

High Energy Physics - Phenomenology · Physics 2025-08-20 Javier Fuentes-Martín , Adrián Moreno-Sánchez , Ajdin Palavrić , Anders Eller Thomsen

The one-loop effective action of QED is calculated by the Schwinger method in Krein space quantization. We show that the effective action is naturally fnite and regularized. It also coincides with the renormalized solution which was derived…

General Relativity and Quantum Cosmology · Physics 2015-05-30 A. Refaei , M. V. Takook

Using a covariant background field method we calculate the one-loop quantum effective action for a particle with coordinate-dependent mass moving slowly through a one-dimensional configuration space. The procedure can easily be extended to…

Quantum Physics · Physics 2015-06-26 H. Kleinert , A. Chervyakov

We study the Heisenberg-Euler effective action in constant electromagnetic fields $\bar{F}$ for QED with $N$ charged particle flavors of the same mass and charge $e$ in the large $N$ limit characterized by sending $N\to\infty$ while keeping…

High Energy Physics - Theory · Physics 2024-02-26 Felix Karbstein

We consider a theory of scalar QED on a spatially compact 1+1-dimensional spacetime. By considering a constant electric field pointing down the compact dimension, we compute the quantum effective action by integrating out the scalar degrees…

High Energy Physics - Theory · Physics 2021-06-29 Prasant Samantray , Suprit Singh

We propose a method based on the Schr\"odinger functional for computing on the lattice the gauge invariant effective action for external background fields. We check this method by studying the U(1) lattice gauge theory in presence of a…

High Energy Physics - Lattice · Physics 2009-10-28 Paolo Cea , Leonardo Cosmai

Building upon the Covariant Derivative Expansion, we develop a method to compute effective actions that is able to capture non-perturbative effects induced by strong background fields. We demonstrate the method in scalar QED, by deriving…

High Energy Physics - Theory · Physics 2025-12-10 Sebastián Franchino-Viñas , Jérémie Quevillon , Diego Saviot